充液层合压电圆柱壳的自由振动

FREE VIBRATIONS OF MULTI-LAYERED PIEZOELECTRIC CYLINDRICAL SHELLS FILLED WITH FLUID

  • 摘要: 推导得到轴向极化的圆柱型正交各向异性压电弹性力学的三维状态方程. 采用细分近似方法,得到了状态方程的解,并建立了圆柱壳内外表面边界量之间的传递关系. 分析了内充可压缩流体的层合压电圆柱壳的自由振动问题,给出了频率方程的精确形式,并作了具体计算.

     

    Abstract: The three-dimensional state equation was derived for acylindrically orthotropic piezoelectric body with radial polarization.The layerwise method was employed to transform the state equation withvariable coefficients to that with constant coefficients and thestate variable solution was obtained. The free vibration problem of afluid-filled multi-layered piezoelectric cylindrical shell was thenanalyzed. Exact form of frequency equation was presented and numericalresults were obtained.

     

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